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# Limit of a function | IIT JAM 2017 | Problem 8 Try this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.

## Limit of a Function | IIT JAM 2017 | Problem 8

Let Write and Then which one of the following is true?

• exists but does not exist
• does not exist but exists
• Both and exist
• Neither nor exists

### Key Concepts

Real Analysis

Function

Limit

Answer: exists but does not exists

IIT JAM 2017 , Problem 8

## Try with Hints

Given that, therefore,  Let, and , Now,   Theorem : If and . Let . If f is bounded on and , then .

Now , is bounded in and , then exists and equal to .

But,    does not exists [Why?]

Then exists but does not.

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Try this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.

## Limit of a Function | IIT JAM 2017 | Problem 8

Let Write and Then which one of the following is true?

• exists but does not exist
• does not exist but exists
• Both and exist
• Neither nor exists

### Key Concepts

Real Analysis

Function

Limit

Answer: exists but does not exists

IIT JAM 2017 , Problem 8

## Try with Hints

Given that, therefore,  Let, and , Now,   Theorem : If and . Let . If f is bounded on and , then .

Now , is bounded in and , then exists and equal to .

But,    does not exists [Why?]

Then exists but does not.

## Subscribe to Cheenta at Youtube

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